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E82

[0KS] Prerequisites:[0H0], [0KQ], [0KM].Let $B$ be a base for a topology $𝜏$ on $X$ . Show that, for any given $A \subseteq X$ ,

A^{\circ} = ⋃_{―} {B \in B : B \subseteq A}

while

\overset{―}{A} = {x \in X : \forall B \in B, x \in B \Rightarrow B \cap A \neq \emptyset}

Solution 1

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Authors: "Mennucci , Andrea C. G." .

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